3x - y = 2and2x + y = 4
1 answer:
Answer:
Step-by-step explanation:
3x-y = 2
2x+y =4
put them into slope intercept form
y=3x-2
y=-2x+4
Now, you can either graph it or use substitution
3x-2 = -2x+4
+2x +2x
5x -2 = 4
+2 +2
5x = 6
5x/5 = 6/5
x = 6/5
3x -2 = y
3(6/5) -2 = y
3 x 6 / 1 x 5 = 18/5
3 3/5 -2 = 1 3/5
Let me know if it's wrong.
Hope this helps
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Answer:
1.
m=
b= 2
2.
m=
b= 1
3.
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that